Answer:
The probability of the spinner landing on 2 is one fourth.
Step-by-step explanation:
The spinner is split into 4 equal parts labeled 1, 2, 3, 4
The probability of the spinner landing on 2 is given as:
(Possibility of it landing on 2) ÷ (Total possible outcome)
The total possible outcome is 4, because the spinner could land on 1, or 2, or 3, or 4.
It can only land on 2 once, so the possibility of it landing on 2 is 1.
Probability = 1/4
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides
<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles
<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Answer:
The answer is there are 30 glazed donuts
Step-by-step explanation:
there are 12 donuts to a dozen therefore 12 * 12 = 144 donuts all together.
donuts with chocolate icing

with white icing and sprinkles

donuts with pink icing

Total donuts minus donuts with icing equal glazed donuts

The slope of the line is 1. the equation would be y=x-3